Portal del Investigador
Jan Felipe van Diejen
Professor
Universidad de Talca
Talca, Chile
Integrable Particle Systems; Macdonald Polynomials; q-Boson Systems; Affine Hecke Algebras.
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Mathematics, UNIVERSITEIT VAN AMSTERDAM. Holanda, 1994
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Engineer in Applied Mathematics, UNIVERSITEIT TWENTE. Holanda, 1989
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Assistant Professor Full Time
UNIVERSIDAD DE CHILE
Faculty of Science
Santiago, Chile
1998 - 2000
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Associate Professor Full Time
UNIVERSIDAD DE CHILE
Faculty of Science
Santiago, Chile
2000 - 2001
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Professor Full Time
Universidad de Talca
Talca, Chile
2001 - 2011
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Associate Professor Full Time
PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE
Mathematics
Santiago, Chile
2011 - 2013
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JSPS Postdoctoral Researcher Full Time
University of Tokyo
Tokyo, Japón
1995 - 1996
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CRM Postdoctoral Researcher Full Time
Université de Montreal
Montreal, Canada
1996 - 1998
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Professor Full Time
Universidad de Talca
Talca, Chile
2014 - A la fecha
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Professor Full Time
PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE
Mathematics
Santiago, Chile
2013 - 2014
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Research Assistant Full Time
FOM Institute for Atomic and Molecular Physics (AMOLF)
Amsterdam, Holanda
1988 - 1989
Postdoc tutoring:
Camilo González, Universidad de Talca, Fondecyt 3200447, Operadores de Creación para Funciones Simétricas, 2020-2023.
Sergio Medina Peralta, Universidad de Talca, Fondecyt 3170112, On orthogonal polynomials and integrable systems, 2017-2020.
Erdal Emsiz, Universidad de Talca, Fondecyt 3080006, Hecke Algebras and Quantum Integrable Models with Delta-potentials, 2007-2009.
Undergraduate thesis tutoring:
Rodrigo Codormiu, “Nudos, Trenzas y Álgebras de Hecke”, Department of Mathematics, Pontificia Universidad Católica de Chile 2012.
(This thesis won a honorary mention in the 2012 Jorge Billeke Price Competition, a price awarded by the Chilean Mathematical Society SOMACHI for the best undergraduate thesis in mathematics written at a Chilean University.)
Master students tutoring:
Luis Bello, Universidad de Talca, 2020.
Jorge Bobadilla, Universidad de Talca, 2007.
Julio Leiva, Universidad de Talca, 2007.
Member of the PhD thesis committee:
Pablo Covián, “Acerca de problemas de resonancia en problemas con barreras de potential”,
Universidad de Chile 1999 (director Claudio Fernández).
Daniel Jiménez, “Análisis armónico sobre espacios cuadráticos en dimensión par”, Universidad de Chile 2000 (director: Jorge Soto-Andrade)
Cynthia Will, “Continuación Meromorfa de la Resolvente del Laplaciano en Espacios Simétricos de Curvatura Negativa”, Universidad Nacional de Córdoba 2001 (director: Roberto Miatello).
Helmut Linde, “Sharp constants for the Lieb-Thirring inequalities”, Pontificia Universidad Católica de Chile 2006 (director: Rafael Benguria).
Erdal Emsiz, Affine Weyl groups and integrable systems with delta-potentials, University of Amsterdam 2006 (directors: Eric Opdam and Jasper Stokman).
Pablo Román, “Funciones esféricas asociadas a espacios simétricos”, Universidad Nacional de Córdoba 2007 (director: Juan Tirao).
Maitere Aguerre, “Existence and uniqueness of positive travelling fronts in reaction-diffusion equations with spatio-temporal delays”, Universidad de Talca 2010 (director: S. Trofimchuk).
Jarnishs Beltrán, “Central extensions and Manin triples for algebras of pseudodifferential operators in one and several variables”, Universidad de Santiago de Chile 2013 (director: Enrique Reyes).
Camilo González, "Combinatoria de los Superpolinomios de Macdonald y de sus Multi-extensiones", Universidad de Talca, 2019 (director: L. Lapointe).
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MSRI General Member
Mathematical Sciences Research Institute
Estados Unidos, 1999
Three month's MSRI general membership during the Program ``Random Matrix Models and Their Applications''.
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MSRI General Member
Mathematical Sciences Research Institute
Chile, 1997
One month MSRI general membership during the Program ``Combinatorics''.
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Invited Scientist
ISAAC NEWTON INSTITUTE
Reino Unido, 2001
Invited Scientist for one month during the Newton Institute Program on ``Symmetric Functions and Macdonald Polynomials''.
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Invited Scientist
INSTITUT MITTAG-LEFFLER
Suecia, 2011
Invited Scientist for three weeks during the Mittag-Leffler Institute's Program ``Complex Analysis and Integrable Systems´´.
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Visiting Professor
TOKYO INSTITUTE OF TECHNOLOGY
Japón, 2003
Three months Visiting Professorship, Graduate School of Mathematics, January 1-March 30, 2003.
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Visiting Professor
UNIVERSITE DES SCIENCES ET DE TECHNOLOGIES DE LILLE : LILLE I
Francia, 1999
One month Visiting Professorship at the U.F.R. de Mathe?matiques Pures et Applique?es, April 1--30, 1999.
Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials |
Symmetries and Integrability of Difference Equations SIDE VI |
Calogero-Moser-Sutherland models |
Algebraic methods and q-special functions |
MULTIVARIATE SYMMETRIC ORTHOGONAL POLYNOMIALS AND THE QUANTUM NON-LINEAR SCHRÖDINGER EQUATION ON THE INFINITE LATTICE |
MATHEMATICS AROUND A QUANTUM INTEGRABLE PARTICLE MODEL ON THE LATTICE |
ON ORTHOGONAL POLYNOMIALS AND INTEGRABLE SYSTEMS |
ON ORTHOGONAL POLYNOMIALS AND INTEGRABLE SYSTEMS |
ON ORTHOGONAL POLYNOMIALS AND INTEGRABLE SYSTEMS |
DISCRETIZATION OF SPIN-PARTICLE SYSTEMS AND Q-BOSON SYSTEMS WITH BOUNDARY INTERACTION |
DISCRETE INTEGRABLE SYSTEMS ASSOCIATED WITH PERIODIC SPHERICAL FUNCTIONS |
Erdal Emsiz
Associate Professor
Facultad de Matemáticas
Pontificia Universidad Católica de Chile
Santiago, Chile